L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2
Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1
The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1
Slope of side KL = m KL = m MN = Slope of side MN
The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN
Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1
Answer:
96
Step-by-step explanation:
The ratio of the measure of sides of a triangle are 8:15:17
The perimeter is 480
8x + 15x + 17x= 480
40x= 480
x = 480/40
x = 12
Therefore the measure of the shortest side of the triangle can be calculated as follows
8x
8×12
= 96
Hey!
Hope this helps...
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Let me lay down the Given, and than I'll solve the question...
<em>Felisha</em> is 6 years older than <em>Gabriella</em><em> - (y)</em>
<em>Their Mother</em> is 2 times older than <em>Felisha</em>
<em>Their Aunt (Tanya - [x] )</em> is X years older than <em>Their Mother</em>
<em /><u><em>We are solving for how old is Tanya? ...</em></u>
**I stated Gabriella with a y instead of an X so that the equation does not look confusing, feel free to replace my y with "<em /><em>Gabriella(X)</em>", when writing/typing your answer...
**When I use the variable <em>Z</em>, this is how many years Tanya is older than the Mother...
To find how many years Tanya is older than the Mother: Z = 2 * (6 + y)
Now... the answer is: X = (2 * (6 + y)) + Z
I stated it this way, because we have to add Felisha's and Gabriella's age first, and than your multiply that age <em>Total</em> by 2 to get the Mother's age...
